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Finding the Third Proportional to 5,330,524 and 11,698,172

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Solution

The third proportional to 5,330,524 and 11,698,172 is: 25,672,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330,524 : 11,698,172 = 11,698,172 : x
  2. Step 2: Convert to fraction form
    5,330,524/11,698,172 = 11,698,172/x
  3. Step 3: Cross multiply
    5,330,524x = 11,698,172 × 11,698,172
  4. Step 4: Simplify right side
    5,330,524x = 136,847,228,141,584
  5. Step 5: Solve for x
    x = 136,847,228,141,584/5,330,524
  6. Step 6: Final answer
    x = 25,672,378.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.